(2x-6)-(3x-4)=(4+x)-4x+6

Simple and best practice solution for (2x-6)-(3x-4)=(4+x)-4x+6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x-6)-(3x-4)=(4+x)-4x+6 equation:


Simplifying
(2x + -6) + -1(3x + -4) = (4 + x) + -4x + 6

Reorder the terms:
(-6 + 2x) + -1(3x + -4) = (4 + x) + -4x + 6

Remove parenthesis around (-6 + 2x)
-6 + 2x + -1(3x + -4) = (4 + x) + -4x + 6

Reorder the terms:
-6 + 2x + -1(-4 + 3x) = (4 + x) + -4x + 6
-6 + 2x + (-4 * -1 + 3x * -1) = (4 + x) + -4x + 6
-6 + 2x + (4 + -3x) = (4 + x) + -4x + 6

Reorder the terms:
-6 + 4 + 2x + -3x = (4 + x) + -4x + 6

Combine like terms: -6 + 4 = -2
-2 + 2x + -3x = (4 + x) + -4x + 6

Combine like terms: 2x + -3x = -1x
-2 + -1x = (4 + x) + -4x + 6

Remove parenthesis around (4 + x)
-2 + -1x = 4 + x + -4x + 6

Reorder the terms:
-2 + -1x = 4 + 6 + x + -4x

Combine like terms: 4 + 6 = 10
-2 + -1x = 10 + x + -4x

Combine like terms: x + -4x = -3x
-2 + -1x = 10 + -3x

Solving
-2 + -1x = 10 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-2 + -1x + 3x = 10 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-2 + 2x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 2x = 10 + 0
-2 + 2x = 10

Add '2' to each side of the equation.
-2 + 2 + 2x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 10 + 2
2x = 10 + 2

Combine like terms: 10 + 2 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

See similar equations:

| 1/9-11/81-16/27 | | 76=0.04p+0.68(p-100) | | g-4=21 | | 9x^2=48x-15 | | -3a-1/3=8/3 | | x+11=30 | | 4-b=-b+2 | | 4/7(3x+5)-2/3(4x+3)=2/3(2x+3) | | x+(x+14)=50 | | 8b-7=(-11)+3b | | 6=-9-k/5 | | 6x-14=2x+82 | | 7/6d=49 | | 10/7y=100 | | 20z^2-140+245=0 | | 8b-7=-(-11)+3b | | 3/4+7/8u=3/4u+5/8 | | x+(x+12)=50 | | (5/13)-2x=-(8/13) | | 15a^2-a=16 | | 7/8y=21 | | 3(6x-10)+6=12 | | 5n+4=2n+13 | | 8/3m=24 | | -4-2x=-6x+5x | | (x-2)*2-9=0 | | 3(2s+10)=6(s+4)-24s | | (2x-5)+(3x+4)= | | 3-5y=1 | | -0.2/1.67 | | 6/5y=12 | | -30p+4-2p+18=50-2p+5p |

Equations solver categories